{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  #linear algebra\n",
    "import pandas as pd  #data processing, csv file I/O\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM  ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18   2.31     0  0.538  6.575  65.2  4.0900    1  296       15   \n",
       "1  0.02731   0   7.07     0  0.469  6.421  78.9  4.9671    2  242       17   \n",
       "2  0.02729   0   7.07     0  0.469  7.185  61.1  4.9671    2  242       17   \n",
       "3  0.03237   0   2.18     0  0.458  6.998  45.8  6.0622    3  222       18   \n",
       "4  0.06905   0   2.18     0  0.458  7.147  54.2  6.0622    3  222       18   \n",
       "\n",
       "        B  LSTAT  MEDV  \n",
       "0  396.90   4.98  24.0  \n",
       "1  396.90   9.14  21.6  \n",
       "2  392.83   4.03  34.7  \n",
       "3  394.63   2.94  33.4  \n",
       "4  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"E:\\projects\\jupyter\\week3 homework\\BostonHousePrice\\BostonHousePrice_CodeData/boston_housing.csv\")\n",
    "\n",
    "#显示前5行\n",
    "df.head()\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 506 entries, 0 to 505\n",
      "Data columns (total 14 columns):\n",
      "CRIM       506 non-null float64\n",
      "ZN         506 non-null int64\n",
      "INDUS      506 non-null float64\n",
      "CHAS       506 non-null int64\n",
      "NOX        506 non-null float64\n",
      "RM         506 non-null float64\n",
      "AGE        506 non-null float64\n",
      "DIS        506 non-null float64\n",
      "RAD        506 non-null int64\n",
      "TAX        506 non-null int64\n",
      "PTRATIO    506 non-null int64\n",
      "B          506 non-null float64\n",
      "LSTAT      506 non-null float64\n",
      "MEDV       506 non-null float64\n",
      "dtypes: float64(9), int64(5)\n",
      "memory usage: 55.4 KB\n"
     ]
    }
   ],
   "source": [
    "#数据总体信息\n",
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(506, 14)\n"
     ]
    }
   ],
   "source": [
    "#样本数目和特征维数\n",
    "print(df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD', 'TAX',\n",
      "       'PTRATIO', 'B', 'LSTAT', 'MEDV'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "#列的名字\n",
    "print(df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3.613524</td>\n",
       "      <td>11.347826</td>\n",
       "      <td>11.136779</td>\n",
       "      <td>0.069170</td>\n",
       "      <td>0.554695</td>\n",
       "      <td>6.284634</td>\n",
       "      <td>68.574901</td>\n",
       "      <td>3.795043</td>\n",
       "      <td>9.549407</td>\n",
       "      <td>408.237154</td>\n",
       "      <td>18.083004</td>\n",
       "      <td>356.674032</td>\n",
       "      <td>12.653063</td>\n",
       "      <td>22.532806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.601545</td>\n",
       "      <td>23.310593</td>\n",
       "      <td>6.860353</td>\n",
       "      <td>0.253994</td>\n",
       "      <td>0.115878</td>\n",
       "      <td>0.702617</td>\n",
       "      <td>28.148861</td>\n",
       "      <td>2.105710</td>\n",
       "      <td>8.707259</td>\n",
       "      <td>168.537116</td>\n",
       "      <td>2.280574</td>\n",
       "      <td>91.294864</td>\n",
       "      <td>7.141062</td>\n",
       "      <td>9.197104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.006320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.460000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.385000</td>\n",
       "      <td>3.561000</td>\n",
       "      <td>2.900000</td>\n",
       "      <td>1.129600</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>187.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>0.320000</td>\n",
       "      <td>1.730000</td>\n",
       "      <td>5.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.082045</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.190000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>5.885500</td>\n",
       "      <td>45.025000</td>\n",
       "      <td>2.100175</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>279.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>375.377500</td>\n",
       "      <td>6.950000</td>\n",
       "      <td>17.025000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.256510</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.690000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.538000</td>\n",
       "      <td>6.208500</td>\n",
       "      <td>77.500000</td>\n",
       "      <td>3.207450</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>330.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>391.440000</td>\n",
       "      <td>11.360000</td>\n",
       "      <td>21.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.677082</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>18.100000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.624000</td>\n",
       "      <td>6.623500</td>\n",
       "      <td>94.075000</td>\n",
       "      <td>5.188425</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>666.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>396.225000</td>\n",
       "      <td>16.955000</td>\n",
       "      <td>25.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>88.976200</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>27.740000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.871000</td>\n",
       "      <td>8.780000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>12.126500</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>711.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>396.900000</td>\n",
       "      <td>37.970000</td>\n",
       "      <td>50.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CRIM          ZN       INDUS        CHAS         NOX          RM  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean     3.613524   11.347826   11.136779    0.069170    0.554695    6.284634   \n",
       "std      8.601545   23.310593    6.860353    0.253994    0.115878    0.702617   \n",
       "min      0.006320    0.000000    0.460000    0.000000    0.385000    3.561000   \n",
       "25%      0.082045    0.000000    5.190000    0.000000    0.449000    5.885500   \n",
       "50%      0.256510    0.000000    9.690000    0.000000    0.538000    6.208500   \n",
       "75%      3.677082   12.000000   18.100000    0.000000    0.624000    6.623500   \n",
       "max     88.976200  100.000000   27.740000    1.000000    0.871000    8.780000   \n",
       "\n",
       "              AGE         DIS         RAD         TAX     PTRATIO           B  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean    68.574901    3.795043    9.549407  408.237154   18.083004  356.674032   \n",
       "std     28.148861    2.105710    8.707259  168.537116    2.280574   91.294864   \n",
       "min      2.900000    1.129600    1.000000  187.000000   12.000000    0.320000   \n",
       "25%     45.025000    2.100175    4.000000  279.000000   17.000000  375.377500   \n",
       "50%     77.500000    3.207450    5.000000  330.000000   19.000000  391.440000   \n",
       "75%     94.075000    5.188425   24.000000  666.000000   20.000000  396.225000   \n",
       "max    100.000000   12.126500   24.000000  711.000000   22.000000  396.900000   \n",
       "\n",
       "            LSTAT        MEDV  \n",
       "count  506.000000  506.000000  \n",
       "mean    12.653063   22.532806  \n",
       "std      7.141062    9.197104  \n",
       "min      1.730000    5.000000  \n",
       "25%      6.950000   17.025000  \n",
       "50%     11.360000   21.200000  \n",
       "75%     16.955000   25.000000  \n",
       "max     37.970000   50.000000  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#对数值型特征，得到每个特征的描述统计量\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f014e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#目标y（房屋价格）的直方图/分布\n",
    "fig = plt.figure()\n",
    "sns.distplot(df['MEDV'], bins=30, kde=True)\n",
    "plt.xlabel(\"Median value of owner-occupied homes\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x000002D95F03E588>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x000002D95F326550>]],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95ec396a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#使用DataFrame 的hist()方法也可以绘制直方图（histogram）\n",
    "#distplot绘图的纵轴为样本的比例饿，hist方法绘图的纵轴为样本数目\n",
    "features= ['MEDV', 'CRIM'] #可以一次指定多个特征\n",
    "df[features].hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2d95efbc390>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f2d7828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(1, 2, sharey=True, figsize=(6,4))\n",
    "\n",
    "sns.boxplot(data=df[\"MEDV\"], ax= axes[0]);\n",
    "sns.violinplot(data= df['MEDV'], ax=axes[1])\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f5b44a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['CRIM'], bins=30, kde=False)\n",
    "plt.xlabel(\"crime rate\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f5040b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['ZN'], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of residential land zoned\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f6506a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['INDUS'], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of non-retail business asres\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    471\n",
       "1     35\n",
       "Name: CHAS, dtype: int64"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"CHAS\"].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'Number of occurrences')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95eefcf60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#离散型/类别型特征的分布可用countplot(纵轴为样本数目)\n",
    "sns.countplot(df[\"CHAS\"], order=[0,1])\n",
    "plt.xlabel(\"Charles River\")\n",
    "plt.ylabel(\"Number of occurrences\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f74e080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['NOX'], bins=30, kde=False)\n",
    "plt.xlabel(\"nitric oxides concentratio\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f782c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['RM'], bins=30, kde=False)\n",
    "plt.xlabel(\"average number of rooms per dwelling\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f821518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['AGE'], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of owner-occupied units built priot to 1940\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f885c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['DIS'], bins=30, kde=False)\n",
    "plt.xlabel(\"weighted distance to five Boston employment centres\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f89bc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessibility to radial higways\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,0,'index of accessibility to radial higways')"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f45a588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessibility to radial higways\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f7dcb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['TAX'], bins=30, kde=False)\n",
    "plt.xlabel(\"imdex of accessibility to highways\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,0,'pupil-teacher ratio by town')"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f054b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df['PTRATIO'])\n",
    "plt.xlabel(\"pupil-teacher ratio by town\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f02b048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['B'], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of blacks\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fa939b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df['LSTAT'], bins=30, kde=False)\n",
    "plt.xlabel(\"lower status of the population\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2d95fe20358>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f504358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#get the names of all the columns \n",
    "cols = df.columns\n",
    "\n",
    "#Calculates pearson co=efficient for all combinations, 通常认为相关系数大于0.5的为强相关\n",
    "data_corr = df.corr() #计算每两个的相关系数\n",
    "sns.heatmap(data_corr, annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(14, 14)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_corr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fd29400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#得到相关系数的绝对值，通常认为相关系数的绝对值大于0.5的特征为强相关\n",
    "data_corr = data_corr.abs()\n",
    "plt.subplots(figsize=(13,9))\n",
    "sns.heatmap(data_corr, annot=True)\n",
    "\n",
    "#Mask unimportant features ,突出重要信息\n",
    "sns.heatmap(data_corr, mask=data_corr < 0.5, cbar=False)\n",
    "\n",
    "#plt.savefig(\"house_corr.png\")\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RAD and TAX = 0.91\n",
      "NOX and DIS = 0.77\n",
      "INDUS and NOX = 0.76\n",
      "AGE and DIS = 0.75\n",
      "LSTAT and MEDV = 0.74\n",
      "NOX and AGE = 0.73\n",
      "INDUS and TAX = 0.72\n",
      "INDUS and DIS = 0.71\n",
      "RM and MEDV = 0.70\n",
      "NOX and TAX = 0.67\n",
      "ZN and DIS = 0.66\n",
      "INDUS and AGE = 0.64\n",
      "CRIM and RAD = 0.63\n",
      "RM and LSTAT = 0.61\n",
      "NOX and RAD = 0.61\n",
      "INDUS and LSTAT = 0.60\n",
      "AGE and LSTAT = 0.60\n",
      "INDUS and RAD = 0.60\n",
      "NOX and LSTAT = 0.59\n",
      "CRIM and TAX = 0.58\n",
      "ZN and AGE = 0.57\n",
      "TAX and LSTAT = 0.54\n",
      "DIS and TAX = 0.53\n",
      "ZN and INDUS = 0.53\n",
      "ZN and NOX = 0.52\n",
      "AGE and TAX = 0.51\n",
      "PTRATIO and MEDV = 0.51\n"
     ]
    }
   ],
   "source": [
    "#Set the threshold to select only highly correlated attributes\n",
    "threshold = 0.5\n",
    "#List of pairs along with correlation above threshold\n",
    "corr_list=[]\n",
    "\n",
    "#size = data.shape[1]\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "#Search for the highly correlated pairs\n",
    "for i in range(0, size): #for \"size\"features\n",
    "    for j in range(i+1, size): #avoid repetion\n",
    "        if (data_corr.iloc[i, j] >= threshold and data_corr.iloc[i, j]<1) or (data_corr.iloc[i,j]<0 and data_corr.iloc[i,j]<=-threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j], i, j]) #store correlation and colums index\n",
    " \n",
    "\n",
    "#Sort to show higher ones first\n",
    "s_corr_list = sorted(corr_list, key= lambda x:-abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v, i, j in s_corr_list:\n",
    "    print(\"%s and %s = %.2f\" % (cols[i], cols[j],v))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2d95f76d748>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fd46390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df[\"RM\"], df[\"MEDV\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x2d95f5f9400>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f5f9278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "sns.jointplot(x=\"RM\", y=\"MEDV\",data= df, kind=\"scatter\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fe5ba20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAKsAAACsCAYAAAAE7VyhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJztnXmUVNW1/z/73ltDV3cjdgOGMMjkEBVo6UblJ3E5JYovzyQqCawoDvmBMSZqEl0+Y36G5/B8RjNgYoyQqKAGE55GiRGQ9555EYMDzSQYUWQeHkO32HRXdw239u+PW1XU2N1Ad1c1dT9r1aqqW6fqnq7ede4+++z9PaKquLj0BoxCd8DFpbO4xurSa3CN1aXX4BqrS6/BNVaXXoNrrC69BtdYXXoNrrG69Bq6zVhF5EkR2Ssi61KOPSwiH4jIWhH5k4j0zfPeLSLynoisFpEV3dVHl95Fd46sTwOXZhxbCpyhqmOAD4G72nn/Bapao6p1nT3hpZdeqoB76323TtFtxqqqfwMaM469pqrR+NO3gMFdec79+/d35ce5FBmF9FlvABbleU2B10SkXkRmtPchIjJDRFaIyIp9+/Z1eSddioeCGKuI3A1EgefyNDlXVccBk4CbReS8fJ+lqrNVtU5V6/r3739Y/YjFlOZQlJjG72NuUk8x0+PGKiLXAl8CvqF5Ur5UdVf8fi/wJ+Csru5HLKY0tISZPncFJ9+9iOlzV9DQEnYNtojpUWMVkUuBO4HLVTWYp025iFQmHgNfBNblans0BCM2t8xfxfJNDURjyvJNDdwyfxXBiN3Vp3LpIrozdDUfWA6cIiI7ROSbwK+ASmBpPCz1m3jbz4rIq/G3ngAsE5E1wDvAX1R1cVf3L+A1eXdL2vyPd7c0EvCaXX0qly7C6q4PVtWpOQ7/Lk/bXcBl8cebgLHd1a8EwbDN+GFVLN/UkDw2flgVwbBNha/bvhaXo6BkV7ACHpNHp57JhBHVWIYwYUQ1j049k4DHHVmLlZIdQgxDqC73MufaOgJek2DYJuAxMQwpdNdc8lCyxgqOwSYu+e6lv/gpWTfApffhGqtLr8E1Vpdeg2usLr0G11hdeg2usbr0Glxjdek1lLSx2naMg20RYqocbItg27FCd8mlHUrWWG07RkNLmGUf7aOpNUK5zyIYsYlGXYMtVkp22SYYsanf2kjtiVXc9OxK3t3SyPhhVcyaUkN1uRfTLNnfcdFSsv+Rcp/FhJH9uPX51Wk5rbc+v9rNaS1SStZYW0JR+pR5cua0lrt5AkVJyRprwGPSEooyflhV2vHxw6poCUXzvMulkHSrseYRuqgSkaUi8lH8/vg877023uajeN1Wl2KaBmWWyawpNWk5rbOm1Lg5rUWKdKdMe7wqtRmYp6pnxI/9BGhU1X8XkX8BjlfVOzPeVwWsAOpwyrLrgVpV/aS989XV1emKFYcn4GLbMYIRm3KfRUsoSsBjupOrnqdTScTd+l/JJXQBfBmYG388F/hKjrdeAixV1ca4gS4lW92lSzBNg0q/B0OESr/HNdQiphD/mRNUdTdA/H5AjjaDgO0pz3fEj7mUMMU6jOS6LOT0V1xFltKhEMa6R0QGAsTv9+ZoswMYkvJ8MLAr14cdjSKLS++iEMa6EEjM7q8FXs7RZgnwRRE5Ph4t+GL8mEsJ092hq1xCF/8OfEFEPgK+EH+OiNSJyG8BVLURuA94N367N37MpYTp1tBVT3MkoSuXoqDwoatiJDMtMBSO0twWVxJsc5UEi5mSMtZoNEZL2CbgtfhoTzNPLdvMp21R3vhor6MkOG8FDS0h12CLlJIx1lhMaWwNc+Mz9Zzyo0XMXLier5w5mOff2caEkf1SlATdrKtipWSMNRixuXV+ejrgnS+s5ZIzBtKnzAPAzH8+jcevHkfAa7qVA0VIyRhrPonLUQMqaGqNMPOfT+Oq2kNbHNgxpTViuwZbRJSMsSYkLlNJpAMu/3g/X6sbQjBsc9OzKzn57kXc9OxKgmGbiGusRUPJGGsuictZU2swDfj8SQOwVXNWDUTcyVbRUDIp8ZkSl9sagtz/yj9YuMZZxd304GVu1UCRU1L/iYTEZUyVi3/2P0RTRs3mtmhOJeyWUJRKv6cQ3XXJoKSMNUHCf+1f6ePmC0YxakAFoYjNrCk13Pr86rRKV68rLlw0lORyayzmrF4dDEW5Y8Fa3t3SyIb7J/HGR3sZN7SKCr9FU2uE5R/vp25YFdXlPlcRu3vp1JdbkiOrYQimYXDHgrXJy/7Gvc0Mq67gxmfq01yBCSOqmXNtnauMXQSUTDQgk4AvPe762OsbGVodyLvdkLsDYeEpWWPNjLuOG9o3OclKZfywKprborzx4V53B8ICU5LGGo3GUFWem342a3/8RZ6+vo4rxg3m430HmTU1vTT7oSvH8PSbm5kwsp+7A2GBKTlHLBqN0RgMZ836Ax6TQX0DVJd7mXn56YwaUMHGvc088toGXn1vN9+56CR3B8ICU3LG2hq1kytVQHKlava0Wm59fjWPXz2OmQvXZ02ymlojbty1wBRiV+xT4vu2Jm5NInJbRpvzReTTlDb3dNX5y31W3pWqd7c08tKqnTlVWpZ/vJ+HrhzjjqwFpMdHVlXdANQAiIgJ7MTZpj2TN1T1S119/oS+Va6Vql9OrWHCyH5U+CxmT6tNqrSUWSYj+lfy0qod3PD5EVT4StLVLziF/tYvAj5W1a09cbJYTPEaknPk9BiS1Go99f8tZsa8evYfDLHvYBun3rOYmQvXM/XsE10drAJS0BUsEXkSWKmqv8o4fj7wAo5+wC7gdlVdn+czZgAzAIYOHVq7dWtuu4/FlIaWMLfMX8WjU8bi91qU+yya26J8vO8gg/oG2HkgyFd/vTz5ngkjqrNGWMsq9O/7mKS4V7BExAtcDtyV4+WVwImq2iwilwEvASfl+hxVnQ3MBme5Nd/5ghGbW+avYvmmBnweixnzsleqnrimNu09CV/25LsXuarYRUAhv/VJOKPqnswXVLVJVZvjj18FPCLS72hOllopUOHPPcmq8Du/3cvHfpYlt53Hhvsn0dwW5bLRA11V7CLgsEZWEakGzgO2qWr9UZ57KjA/z3k+A+xRVRWRs3B+VA252naWxIrV8k0N7aYDfv/ik/jKmYO584W1yTjsQ1eOAeDV93a7+a0FpN2RVUReEZGErupAYB1wA/BMZrjpcBCRAI4ay4spx74lIt+KP70KWCcia4BHgSl6lM51aqXAym2NOSdZLaEI1507nDtfWJtVWHjzBaNcVewC0+4ES0TWq+rp8cc/BE5V1WkiUgm8qapjeqifnaKjFMFYTAlGbAJek0jEJhzTtMnTqfcsZsP9kzjlR4vSErMtQ9hw/yQamkMc57fwed3RtYvpEkWWSMrji4BXAVT1INDrKukSlQIa0zRDDXhMWqOOm7D/YChnMsvBtgjPv7ONSAd/dSymToaWqpup1cV0ZKzbReS7IvJVYBywGEBEyoBeueaY2Kxtxrx6/vbhXlRBDMFjCHOm1eLzGDw8eUyai/Czr4/lnpfX8+h/byTgyx9nTYTHps9d4Si8zF3hZmp1IR1dz74J3AtcDHxdVQ/Ej58DPNWdHesughEnN+DG84Zz2sDjuPGZ+uREava0Wm56diX9K33JZJbtjUEqfRYL1+xiwohqgiHHjUi4E8GwTcBjYhhCOGrjMYXnpp9NU2uEl1bt5Jb5q9zk7S6i3W9QVfcC38px/HXg9e7qVHcS8JrMvPx0Tjqhgm0NQfpX+pITqUR+QDSmyapXyxA+fGASE0ZU8+jUGso8RnJxIWHkj049k+PLPDS1RbOyuYb1C7j5BF1ERxOsP5NHHh1AVS/vjk4dKZ2ZYO1vCXHr/NUphlZDudfCaxm0RuyciwWzp9UiIgQ8zog6fe6KnG2eWraZS84YmEwvXLJuN9dPHI5pCAF3UtYeXbKC9UgXdKRoSNW7ApJCbA9eMZq+AQ8KOStcPYbgjxtbPhmicp+VMz4b8JqEOpqVuXSKjtyA/0k8FpH+8WO9dpeJfIY2pCqACKjCs29t4fGrx9GnzENTa4SXV+/kmgnDsGMxgmEbgbwLCon4LJCMzz5xTS2GuJWxXUGHy60i8mMR2Q98AHwoIvu6Mr+0J8mnd7VxbzMtoSjbG4MsXreHmnuXMuKuV6m5dymL1+3hQDDCzk/aeGrZZqIx5dGM0pdHp56Z94dQ4bPajSC4dJ6OfNbvAZcBM1R1c/zYCOBxYLGq/rxHetlJOuOzJiZHJ/TxcdvFJzO0OsDOT1oZ2MdP2I7RHMqeJO072Ea5z8PQ6gDbGoJ8po+PqJIWDQiGbabPy/Zlf/a1sVT4Lbe6oH06denpyFhXAV9Q1f0Zx/sDr6nqmUfVxS6mMyIXsZjSFrFpCUe5JWWiNWtqDX7L5Ok30ydJm/YdpHZYVdqk7DdXj8M0DAK+Q8baFrVpbAknRTPGD6vi4clj6BvwUuYxMA03U6sdumSC5ck0VHD8VhHplUOFYQgx4JaMidat81fz3PSzefS/N/Kz//wo2X7JbeelTcr6V/rSlFwSoauqcg//9Y892f7uOcMIhm0q/K6xHi0dfYPhI3ytqMnnX+ba0n3UgIq0tjdfMCqp5HJI2n0VwbDNRZ87IU3f9aLPnUAwYuMOql1DRyPrWBFpynFcAH839KdHSE0XTDB+WBXhqM3vrq0jGlMq/E4VQTCcnk6YabxwKHSVGqNdvqmBOxasZfa0WnyWO8HqCtr9zauqqap9ctwqVbVXugGQW1j4oSvHJJNQbnymnpPvXsSNz9RjxzQtnXB7YzBnRCEYsvMacchVz+4SSlJFENLTBVtCUZ5atpnrJw7PuYL19HV1hGJKhc+iLZw9OXvoyjGYBtyeIvSWeO+DV4ymX4UvWYXgkpPirsEqNIYh+E2DllCUcp/F9ROH59QUuPSME/g0Y83/8avHMWdaLWVeK6naMm5o35yrX4vW7eaaCcMK80ceYxSyYHALcBCwgaiq1mW8LsAsnDhvELhOVVd21flzyQjNnlab5ct+uWYQNz27Ms0XvenZlcyeVsvVv307efzmC0bx/Dvb0qSHnn9nG5fXDCIYst2RtQso9Dd4Qa7QWJxJOBWtJwFn4yxEnN1VJ84lI9QSimSNjn3KPHl90dS2owZU8E8ZYS/LEL5z0UntpAK5HA6FNtb2+DIwL1579ZaI9BWRgaq6uys+PNclf+JDf+WDey9N0wpor7iwKuBNa5urnTuqdh2F/BYVeE1EFHgiXv+fyiBge8rzHfFjXWKs+YyrNWrTGnZSBd/d0sgvp9bk9EWXfbSPC08ZkHyvKZIV9rIMwe8quHQZhTTWc1V1l4gMAJaKyAeq+reU13PNELMuqBmKLJ0+eZll5jRCU4QKv8UT19Qmje5AMJRcmTrYGuVPq3YwrF8gbeK14FvnMKhvIMfngcdjJmu9XIGMI6dg35yq7orf78URZjsro8kOYEjK88E4UkKZnzNbVetUta5///6dPr9lGcnL+IcPTGL2tFqO81uY4oy6qbFWMJi50FEv+t+mNmb++X3GDa1K2+RtZP/KnJu+hWzl5LsXMWNePQ0tYXd7zaOgIMYqIuXxcm5EpBz4Io4mQSoLgWnicA7waVf5qwksy6DS78EQodLvwTINQrYm8wZSdQNuu/hkgiGbz/b18/g3zsxSdWlP5eXDBybx+NXjqN/a6Cq6HAWFGllPAJbFRSzeAf6iqoszhC5eBTYBG4E5wLe7u1PBiJ1Xv3VodQBDoKE5zISR/bLyCNrbjyCRK1B7YhVlrg97xBTEWFV1k6qOjd9OV9UH4sd/o6q/iT9WVb1ZVUeq6mhV7dzS1FFQ7nOC/PmM7od/eo+7XnyP5rgoRuoy7Mf7DuZUefGakjaytroj6xHjxlRSaAlFWbJuN49MHsvtC9ak5boaAjFNT1DZeSCYNhGzY3ZaKMtjCP/bFGJIVYADwQgTRvZzR9ajoGRzA3LRFo7S1BalzGuiQIXv0E6Dowf3RYBzH3odyxA+uO9SGluyN9Ko39pI7YlV9PVbtNpKpc+iqS1Chc+iJWzjMw8VH7okOfpKgd7G0RprNBpzSlvC0bTKgIeuHMNLq3bwfz8/gu2ftDJqQAUtoSheU4jEZYgSohYz//w+37/4JKacPTSr5Dum4E9M6gxJS6ZJFcsoQVxjPVwOtkVobovy/T+uycqeemTyGLyWkZZt9fDkMQw8zs8pP1qcJuS25Lbzcu748uAVo7FMoSrgxe8xc4plVJd7S9Fgu0SYraQo91kM6OPPGQ04rsybFdK6Y8FaWkLZFbP5ErSHVAW4Y8FaYpquxJ1WceBOwPLiGmsKbWGb5hylLeOHVWXt9QqH4qiZUYBc5TGJku93tzQS8Jl5S2tcqaH8uJ5+CjFV5r65OTsaMKUmb0JLMBQl4DXTCgUtQ3h0ak1WgvYjr21IJsEIwi0XjsqSG3ITX/Lj+qwpxNRZGr1s9EDuuOQUBh1fRjDkVAYsem83F556Qpo80MOTx1AV8PLNHNpXv7u2jogdo7LMw7aGIL/4zw/Z0xRi1tQaqsq8RGOxnEJuffxWKUYL3EqBwyVRSLhwza6kiuDj3ziT2hOrWLJ+DyIkR9DmtigR28af53LutQzs+EBQVe7lkavGsuNAKx7DIGzHiCk5t+WcM60Ol9y4PmsKuQoJT/9sX97f9SlzptVy2eiByVLrG5+ppyUUoy2HJNEvp9bQGHQEixNtG4Nh/rphL99+biUxJa8P7EoN5cd1AzKIxZRg2KbMa7JxbzOPvb6RhWt2seS281iybneWj3nDxOEEw3ZWeUyuwsPfXFNL7X1L+fCBSckixezPG1GKPqvrBhwJhiEomlZfBTCyfzlX1g5Jm3g9MnksZV6TxpZQ2jJrvmSYSr+VnGCVeUymnDU0y2ct83R8sSvVxQTXDchBZpLKhBHVtEZsbl+wJi0uevuCNQTDNne+sI7RM19jxF2vMnrmawRzxF4TJS6PTB5LwGvSGrFz5r+2RtvPd3XE5UIZ+xaESmLfAndkzUFqYnZHo2Vm4eD4YVUYAg9PHpMl0mYIvFC/Pa3s+/Kxn+XmC0YlXYGORtZg2Gb+2+lVtPPf3lYS7sOx/dcdBZZlUBnfVLjS72knzmpTv7UxLc7qswzKPCYPXjGaIVUBtjcGKfOYeC2DK2uHJIU1brlwFJPHD+H7f1iTlkNQXe7Le1kv8xo5FbbLvLmNPBqN0Rq1j4nNkntnrwuAYZC15VBitExs/Z5Ism4J2zz31lZC8Ut6KBrjube20hyK4vMIrWEbU4TrJg7n+39Yk7HkuppgOP8uho7bkb0DYjCcvUwbjcZobD0UlZgxr57G1jDRHK5Gb9i/q8dHVhEZAswDPoOz8dtsVZ2V0eZ84GVgc/zQi6p6b0/2MxO/ZVLps9JGy3Kfhc9jsKB+d9rIunJbI1PPHpq1gnXPy+vZdzDEnGm1+OPLqrnDV/n/Le25I5m0RrP3ULh1/mpmT6tNXjUgXWS5mJNqCuEGRIEfqOrKeB1WvYgsVdX3M9q9oapfKkD/cmIYTp2WaRqIwPEBL3P/vpnrzh3O4nV7+PHCQ92fMKKa315bx5xpdckQ2COvbWDhml1YhhDwWYQjNpGY8uEDzs7bAY/Jx/tbkkuuCEl3wZmQxZIK253VJ+isYQcjNiu2NKT94JZ/vJ/PnzygqPbv6nE3QFV3J2SA4ttq/gNHD6DoSWynGQzZzP27EyMNeLIjB7Om1KCqyRDYJb/4W3JFbPywKsIRm6ZQNGvRYNO+g0w5eyiWQXK2P2NePTs/aePJNzbR0BKmzGPk2NOgJmcCTHtRiVT8lpHlytSeWIW/2HxbVS3YDRgGbAP6ZBw/H2fL9jXAIuD0znxebW2t9gQtbRHd3tiiU55YriPv+ouu3NqgTa1htWMxbWoN66fBkM5aukGjtq1b9x9qN+WJ5bp1f4s2tYZ1yhPL9cQ7X0nepjyxXA8EneNNrWH9YHeTRu2YfrC7SWct3aCftIT01bU7tak1rFHbTp7vYFtEbTvWqX5OeWK5bm9s0Za2SFq7ptawzlq6IeucTa3hnvg6VTtpL4UUZqsAXgBuU9VMweKVwImq2iwilwEv4Whe5fqcIxK5OFr8HiPNfw1FbSLRGGf9238lQ1Wt4RgvrdqRFmZ6adUOvnPRSXkXDRKXaV98VPNZBlPPGkqlz6L2xKqkUkx7fmVi0cDI0U9/PDTWHHcvgmGbMo+Zdw+vYqIgxhrfj+AF4DlVfTHz9VTjVdVXReTXItJPc+9vMBuYDc5yazd2O4nfYxKxYzgCiA6WYRCKxthw/yS2Nwap8FlE7BhX1A7OircmLs+5/M7E/ZCqQHIJ9qq6IYSisawQWS6/MnWy9MwNZxG2jax+ek2Da558Jy1ctn7Xgawf1fUTh1NZRHshFCIaIMDvgH+o6s/ytPkMsEdVVUTOwvGtG3K1LQSZk61+lT78poFp2IhA34CHl1fv5NNghGv/z7Cska29RYPE/Sk/WpQc4f5jxXZumDg86VemLs/6LSNdGDkcZf7bW1m+qYHWqM3m/c2M7F+JiJP99fG+g4waUJm1y2Iin8EdWdM5F7gGeE9EVseP/RAYCo52AHAVcJOIRIFWYIpqcWXcJCZbQPLetGM0toRobrO5+pxhbG8M4jENyn2mY9QVPkDxeQx8Zvrl2Wca+DwGFT6Lzfub02KoP7lqDAGfxfSMPQtufX41v7u2LkuJ++dfr2HjvhZ8hjDo+EDazt+zptbgy3AbEq6HO7JmoKrL6CDLRlV/BfyqZ3rUdfi9Jj/803vcdP4owFkMeGdLA6cNPI5vzHk7aTBPXFPL/He2cckZA5PtFq7eyfUTh7PzkyD/9Ms3k5/57pZGBh1fRls4954FMdWsbZK+94fVzJlWS1SdH1LqsrFpCM0ZCwgJ12PmwvVdMrJ2V6JN8QTRjgFaQlH2NIW45BeHxBAnjKjmqevq0gymzDKzFg0emTwWQ4T7//JB2mcm1GBEcu8ZG8gTSw34LEIRm1A0xoFghIDXoqE5zPEBDzGUCSOqs1yQzH1nZ0+rPeyRNZFoc0tGGXp7S8idxc1n7UJsO0ZDMJymFzBrag3VAW+W1GVbOJrUHGhui1IeT7re+Ulb1qx80PF+RIRdB1qzdzAs8+bchnPOtDqisRgVPovmUDQ5KfNbBs3hKM1tdtIFqfCbBDwWp/14SfIzLMORPTrcTZKb2yJp7sqh/tRSkX9LUDeftacxTYPqjGytfJqskZiy7KN9TBjZjwPBCOW+AK1hO2eo64aJI1CUPn4Pv5hSQ78KX6cmazc9u5I50+rS9kR4/18v6dTfMn5YlbMz4mGuYLU30h8txeM9HyOYZrqMZj7x4HKfxXfnr+alVTupqvAiAobAFbWDmblwPaf8aBEzF67nitrBGAIvrtzBjc/UI5BYOMFvmZji+KUPXjGaDfdP4sErRlPhc3RmHQPVtAQcxAlfpWIZjtFn7fR9BLpcnV01OxJcN6BANIeiTI9XxW568DJOvnsRy++6EBFyXqL9XvNQbPWkAYCiOPkDrWGbmJIUiDMEyjwmI+9exL9efhpfrhnEgWCEIVUBmtoieAwhGtO00nG/ZdJmx456UhQMRWkMZm+4XBXwtje6uoosxUxqcWJiNLrvlX8gGf83yzA4GIqiSlKJ0G8ZBCPOvgcb97bw5LLN7P60DVXY/WkbTy7bzMZ9LQAsXrcHv2VQHR+9BSfsZsYN0TSEMo+T41rhszDECckd6WSovZH+aHGNtUAYhlBd7mXOtXVJv3PfwRD3veJkb4mQNLDWlFBTNBZLS/177PWNfOXMbNfh8b9uTG7z6bEMTJGkwUeiMcq9VoeuypEggNc0qCr3JhcivKbRuaGzA9wJVgFJLCy0haPJ0Shx+U/M3Pe3RLjrxffSL6nlvuQkJpHNNfPy0znphAr2fNpGTJWffq0mLbhviiRX27qzwDCG43sngggJX7wrdlJwR9YiwDIMLEPoG/Akl2stw3EIMreLv2PB2qxJzMI1u5i5cD3BkI1lCrcvWJscZaecPTQ52h3tJb6zRGOKHa80sGOaprB4NLgjaxFgWQZ+nMx+cPxIv2VimJIzDNReuKrSZzFnWi2BeN6tIY6h9lTdlcc0iMayZ/6eLnA1XGMtEjILFIG8RYpAlttQ6bNQHJ8xEXwvRLWraRqUQVK6MzGB6wq/2HUDipiA18xZFeD3mFR4LarKvYCTWzD371toCUeximBTuM7Gmg8XN85a5LSXFGLbseR2SL18B0N3ufVYIFcqYgLTNKg0012HY5le+TN0KU2OKTdARPYBWw/jLf2ArFKZIqAY+9Wdfdqvqpd21OiYMtbDRURWqGrRqfcWY7+KoU+uG+DSa3CN1aXXUOrGOrvQHchDMfar4H0qaZ/VpXdR6iOrSy+iJIxVRC4VkQ0islFE/qWddleJiIpIt896O9MnEfmaiLwvIutF5Pfd3afO9EtEhorI6yKySkTWxuWdeobOimL11htgAh8DIwAvjtjbaTnaVQJ/A94C6grdJxxtr1XA8fHnA4rhu8LxXW+KPz4N2NJT/8tSGFnPAjaq6iZVDQPPA1/O0e4+4CdAW5H0aTrwmKp+AqCqe4ukXwr0iT8+DtjVA/0CSsMNGARsT3m+gww9WBE5Exiiqq8US5+Ak4GTReRNEXlLRDpc4emhfs0ErhaRHcCrwHd7oF9AaRhrroyeZAhERAzg58APeqxHHfQpjoXjCpwPTAV+KyJ9i6BfU4GnVXUwcBnwTPw77HZKwVh3AENSng8m/dJVCZwB/FVEtgDnAAu7eZLVUZ8SbV5W1YiqbgY2kEejtof79U3gjwCquhzw4+QNdD+Fmvj01A1nhNoEDOfQpCGvkjbwV7p/gtVhn4BLgbnxx/1wLs/VRdCvRcB18cefwzFm6Yn/5TE/sqpqFPgOsARn/4I/qup6EblXRC4v4j4tARpE5H3gdeAOVe1WjdpO9usHwHQRWQPMxzHcHllZclewXHoNx/zI6nLs4BqrS6/BNVaXXoNrrC69BtdYXXoNrrEWmHiW109Tnt8uIjNTns8QkQ/it3dEZGL8uCki9SJyXkrb10Rkco/+AT0mAvl7AAABRklEQVSIa6yFJwRcISJZq0Ai8iXgRmCiqp4KfAv4vYh8RlVt4NvAYyLiEZGpgKrqgp7sfE/iGmvhieKk3X0vx2t34iwG7AdQZ4PmucDN8edvA3/HSS75t8TxYxXXWIuDx4BviMhxGcdPB+ozjq2IH09wF3Ab8HtV3dh9XSw8rrEWAersVTsPuKUTzYX0TKjzgE9xknGOaVxjLR5+gZPRVJ5y7H2gNqPduPhxRKQcJ2H8QqB/j5aYFADXWIsEVW3ESb37ZsrhnwAPiUg1gIjUANcBv46/fg9OsskHOJOtn4uIv8c63cO4KoLFxU9xsp4AUNWFIjII+LuIKHAQuFpVd4vIacBXgbHxtqtFZAnOpOxfe77r3Y+bdeXSa3DdAJdeg2usLr0G11hdeg2usbr0Glxjdek1uMbq0mtwjdWl1+Aaq0uv4f8Dbi0IXQ4O3MIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fec5b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fefc588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95ff4d438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95ffcae80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fffb550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d96005edd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d961211390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d9612675f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d9612a6128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f48d4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fcd0978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f014d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f558b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95f685940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fa75c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d9612b0208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d96126e320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d960059518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d9612177f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95ffb0dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95ff50a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fe89160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d95fedd518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d9600b4208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d960102e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d960136828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Scatter plot of only the highly correlated pairs\n",
    "#使用SVG格式可能导致pairplot变得非常慢\n",
    "%config InlineBackend.figure_format=\"png\"\n",
    "for v, i, j in s_corr_list:\n",
    "    sns.pairplot(df, x_vars = cols[i], y_vars=cols[j])\n",
    "    plt.show()\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x2d96139ada0>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d96139ac50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 参数hue表示类别\n",
    "sns.lmplot(\"RM\", \"MEDV\", data=df, hue=\"CHAS\", fit_reg=False)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2d95f6a49b0>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2d96014f320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(1, 2, sharey= True, figsize=(10,4))\n",
    "sns.boxplot(x= \"CHAS\", y=\"MEDV\", data= df, ax=axes[0])\n",
    "sns.violinplot(x= \"CHAS\", y= \"MEDV\", data= df, ax=axes[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
